Relaxation Processes in Long-Range Lattices
Statistical Mechanics
2019-10-23 v2
Abstract
The relaxation to equilibrium of lattice systems with long-range interactions is investigated. The timescales involved depend polynomially on the system size, potentially leading to diverging equilibration times. A kinetic equation for long-range lattices is proposed, which explain these timescales as well as a threshold in the interaction range reported in [Phys. Rev. Lett. 110, 170603 (2013)]. Non-Markovian effects are shown to play an important role in the relaxation of systems of up to thousands of particles.
Keywords
Cite
@article{arxiv.1906.03535,
title = {Relaxation Processes in Long-Range Lattices},
author = {T. M. Rocha Filho and R. Bachelard},
journal= {arXiv preprint arXiv:1906.03535},
year = {2019}
}